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fibonacci.rb

 1 # Copyright (c) 2010 the authors listed at the following URL, and/or
 2 # the authors of referenced articles or incorporated external code:
 3 # http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?action=history&offset=20090726043340
 4 # 
 5 # Permission is hereby granted, free of charge, to any person obtaining
 6 # a copy of this software and associated documentation files (the
 7 # "Software"), to deal in the Software without restriction, including
 8 # without limitation the rights to use, copy, modify, merge, publish,
 9 # distribute, sublicense, and/or sell copies of the Software, and to
10 # permit persons to whom the Software is furnished to do so, subject to
11 # the following conditions:
12 # 
13 # The above copyright notice and this permission notice shall be
14 # included in all copies or substantial portions of the Software.
15 # 
16 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 # 
24 # Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?oldid=16486
25 
26 def fib(n)
27   return n if (0..1).include? n
28   fib(n-1) + fib(n-2) if n > 1
29 end
30 10.times do |i|
31   puts fib(i)
32 end
33 
34


fibonacci_array.rb

 1 # Copyright (c) 2010 the authors listed at the following URL, and/or
 2 # the authors of referenced articles or incorporated external code:
 3 # http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?action=history&offset=20090726043340
 4 # 
 5 # Permission is hereby granted, free of charge, to any person obtaining
 6 # a copy of this software and associated documentation files (the
 7 # "Software"), to deal in the Software without restriction, including
 8 # without limitation the rights to use, copy, modify, merge, publish,
 9 # distribute, sublicense, and/or sell copies of the Software, and to
10 # permit persons to whom the Software is furnished to do so, subject to
11 # the following conditions:
12 # 
13 # The above copyright notice and this permission notice shall be
14 # included in all copies or substantial portions of the Software.
15 # 
16 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 # 
24 # Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?oldid=16486
25 
26 def fib(n)
27   return n if n < 2
28   vals = [0, 1]
29   n.times do 
30     vals.push(vals[-1] + vals[-2]) 
31   end
32   return vals.last
33 end
34 10.times do |i|
35   puts fib(i)
36 end
37 
38


fibonacci_iterative.rb

 1 # Copyright (c) 2010 the authors listed at the following URL, and/or
 2 # the authors of referenced articles or incorporated external code:
 3 # http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?action=history&offset=20090726043340
 4 # 
 5 # Permission is hereby granted, free of charge, to any person obtaining
 6 # a copy of this software and associated documentation files (the
 7 # "Software"), to deal in the Software without restriction, including
 8 # without limitation the rights to use, copy, modify, merge, publish,
 9 # distribute, sublicense, and/or sell copies of the Software, and to
10 # permit persons to whom the Software is furnished to do so, subject to
11 # the following conditions:
12 # 
13 # The above copyright notice and this permission notice shall be
14 # included in all copies or substantial portions of the Software.
15 # 
16 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 # 
24 # Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?oldid=16486
25 
26 def fib(n)
27   curr = 0
28   succ = 1
29 
30   n.times do |i|
31     curr, succ = succ, curr + succ
32   end
33 
34   return curr
35 end
36 10.times do |i|
37   puts fib(i)
38 end
39 
40


fibonacci_matrix.rb

 1 # Copyright (c) 2010 the authors listed at the following URL, and/or
 2 # the authors of referenced articles or incorporated external code:
 3 # http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?action=history&offset=20090726043340
 4 # 
 5 # Permission is hereby granted, free of charge, to any person obtaining
 6 # a copy of this software and associated documentation files (the
 7 # "Software"), to deal in the Software without restriction, including
 8 # without limitation the rights to use, copy, modify, merge, publish,
 9 # distribute, sublicense, and/or sell copies of the Software, and to
10 # permit persons to whom the Software is furnished to do so, subject to
11 # the following conditions:
12 # 
13 # The above copyright notice and this permission notice shall be
14 # included in all copies or substantial portions of the Software.
15 # 
16 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 # 
24 # Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?oldid=16486
25 
26 require 'matrix'
27 
28 FIB_MATRIX = Matrix[[1,1],[1,0]]
29 def fib(n)
30   (FIB_MATRIX**(n-1))[0,0]
31 end
32 10.times do |i|
33   puts fib(i)
34 end
35 
36


fibonacci_recursive2.rb

 1 # Copyright (c) 2010 the authors listed at the following URL, and/or
 2 # the authors of referenced articles or incorporated external code:
 3 # http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?action=history&offset=20090726043340
 4 # 
 5 # Permission is hereby granted, free of charge, to any person obtaining
 6 # a copy of this software and associated documentation files (the
 7 # "Software"), to deal in the Software without restriction, including
 8 # without limitation the rights to use, copy, modify, merge, publish,
 9 # distribute, sublicense, and/or sell copies of the Software, and to
10 # permit persons to whom the Software is furnished to do so, subject to
11 # the following conditions:
12 # 
13 # The above copyright notice and this permission notice shall be
14 # included in all copies or substantial portions of the Software.
15 # 
16 # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 # IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 # CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 # TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 # SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 # 
24 # Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Ruby)?oldid=16486
25 
26 def fib(n)
27   n < 2 ? n : fib(n-1) + fib(n-2)
28 end
29 10.times do |i|
30   puts fib(i)
31 end
32 
33


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